Natural maps between CAT(0) boundaries

作者：Buckley Stephen M^*; Falk Kurt

来源：The New York Journal of Mathematics, 2013, 19: 13-22.

• CAT(0) space
• Gromov hyperbolic space
• ideal boundary
• Gromov boundary natural map

It is shown that certain natural maps between the ideal, Gromov, and end boundaries of a complete CAT(0) space can fail to be either injective or surjective. Additionally the natural map from the Gromov boundary to the end boundary of a complete CAT(-1) space can fail to be either injective or surjective.

• 出版日期2013